18034605216 has 144 divisors (see below), whose sum is σ = 51762110400. Its totient is φ = 5955984384.

The previous prime is 18034605209. The next prime is 18034605221. The reversal of 18034605216 is 61250643081.

It is a happy number.

18034605216 is a `hidden beast` number, since 1 + 8 + 0 + 34 + 605 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27366295 + ... + 27366953.

It is an arithmetic number, because the mean of its divisors is an integer number (359459100).

Almost surely, 2^18034605216 is an apocalyptic number.

18034605216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18034605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25881055200).

18034605216 is an abundant number, since it is smaller than the sum of its proper divisors (33727505184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18034605216 is a wasteful number, since it uses less digits than its factorization.

18034605216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 18034605216 in words is "eighteen billion, thirty-four million, six hundred five thousand, two hundred sixteen".